クランク軸の固有値と固有関数
固定されたクランク軸の固有値と固有関数を計算する.
Graphics3Dを指定する.
In[1]:=
gr = \!\(\*
Graphics3DBox[
{EdgeForm[None], FaceForm[GrayLevel[0.5]],
GraphicsComplex3DBox[CompressedData["
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"]]]},
Boxed->False,
ImageSize->{247.7409798905339, 265.},
ViewPoint->{1.3, -2.4, 2.},
ViewVertical->{0., 0., 5.055106146575966}]\);
有限要素法パッケージをロードし,有限要素メッシュを生成する.
In[2]:=
Needs["NDSolve`FEM`"]
mesh = ToElementMesh[DiscretizeGraphics[gr], "MeshOrder" -> 1]
Out[2]=
三次元の応力演算子を指定する.
完全なWolfram言語入力を表示する
クランク軸の境界がこれらの位置で固定されたままであるような制約条件を指定する.
In[4]:=
Subscript[\[CapitalGamma], D] =
DirichletCondition[#, {y <= 0.1, y >= 890}] & /@ {u[x, y, z] == 0.,
v[x, y, z] == 0., w[x, y, z] == 0.};
固有値と固有関数を5個求める.
In[5]:=
{vals, funs} =
NDEigensystem[
Join[stressOperator[10^9, 33/100], Subscript[\[CapitalGamma],
D]], {u, v, w}, {x, y, z} \[Element] mesh, 5];
固有値を調べる.
In[6]:=
vals
Out[6]=
有限要素法パッケージを使って,クランク軸の第5の固有関数を,動いていないときの位置と比較して可視化する.
完全なWolfram言語入力を表示する
Out[7]=